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Finding the Fourth Proportional to 509.95, 761.22 and 471.88

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Solution

The fourth proportional to 509.95, 761.22 and 471.88 is: 704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.95 : 761.22 = 471.88 : x
  2. Step 2: Convert to fraction form
    509.95/761.22 = 471.88/x
  3. Step 3: Cross multiply
    509.95x = 761.22 × 471.88
  4. Step 4: Simplify right side
    509.95x = 359,202.49
  5. Step 5: Solve for x
    x = 359,202.49/509.95
  6. Step 6: Final answer
    x = 704.39

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.